FENTREE - Fenwick Trees


Mr. Fenwick has an array a with many integers, and his children love to do operations on the array with their father. The operations can be a query or an update.

For each query the children say two indices l and r, and their father answers back with the sum of the elements from indices l to r (both included).

When there is an update, the children say an index i and a value x, and Fenwick will add x to ai (so the new value of ai is ai + x).

Because indexing the array from zero is too obscure for children, all indices start from 1. Fenwick is now too busy to play games, so he needs your help with a program that plays with his children for him, and he gave you an input/output specification.

Input

The first line of the input contains N (1 ≤ N ≤ 106). The second line contains N integers ai (−109 ≤ ai ≤ 109), the initial values of the array. The third line contains Q (1 ≤ Q ≤ 3 × 105), the number of operations that will be made. Each of the next Q lines contains an operation. Query operations are of the form “q l r” (1 ≤ l ≤ r ≤ N), while update operations are of the form “u i x” (1 ≤ i ≤ N, −109 ≤ x ≤ 109).

Output

You have to print the answer for every query in a different line, in the same order of the input.

Example

Input:
10
3 2 4 0 42 33 -1 -2 4 4
6
q 3 5
q 1 10
u 5 -2
q 3 5
u 6 7
q 4 7

Output:
46
89
44
79

hide comments
masterlemos: 2021-08-22 21:39:05

for c# take care io, use StreamReader / Writer

aditya04848spo: 2021-04-08 16:34:20

don't submit in python3 instead submit in pypy2, ac 0.67 with fast i/o in pypy2

nadstratosfer: 2020-07-15 19:54:08

pandey101299, that's some sixth sense insight right here.

pandey101299: 2020-07-15 14:00:06

easy one basic fenwick tree

scolar_fuad: 2020-04-10 12:14:02

this is must learn bit problem instead of lazy segment tree
happy coding

aryan12: 2020-04-05 21:22:00

Must do BIT for learners. Good problem. AC in one go (0.37 sec)

sapjv: 2019-10-10 15:31:58

Segment Tree - AC in 0.13 sec
Fenwick Tree - AC in 0.09 sec

aj_254: 2019-09-12 23:26:43

solvable in pypy just use standard i/o.

rul0: 2019-01-22 17:20:31

Time limit too strict for Python

Bojan Rosko: 2018-10-05 12:41:34

Watch out for int32 overflow...


Added by:BerSub
Date:2016-10-17
Time limit:0.400s-1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 GOSU